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数学
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若正实数a,b满足ab=2,则(1+2a)(1+b)的最小值为______.
人气:263 ℃ 时间:2020-01-26 03:07:03
解答
∵(1+2a)(1+b)=1+b+2a+2ab=5+b+2a≥5+2
2ab
=9
当且仅当b=2a=1即b=2,a=1时取等号
故答案为:9
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